137311674000564 has 216 divisors, whose sum is σ = 393829936573248. Its totient is φ = 37121861952000.

The previous prime is 137311674000521. The next prime is 137311674000593. The reversal of 137311674000564 is 465000476113731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174303564 + ... + 175089564.

Almost surely, 2^{137311674000564} is an apocalyptic number.

137311674000564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137311674000564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196914968286624).

137311674000564 is an abundant number, since it is smaller than the sum of its proper divisors (256518262572684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137311674000564 is a wasteful number, since it uses less digits than its factorization.

137311674000564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786883 (or 786855 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 137311674000564 in words is "one hundred thirty-seven trillion, three hundred eleven billion, six hundred seventy-four million, five hundred sixty-four", and thus it is an aban number.